30750720000 has 1200 divisors, whose sum is σ = 137577361152. Its totient is φ = 5898240000.

The previous prime is 30750719983. The next prime is 30750720037. The reversal of 30750720000 is 2705703.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2365439994 + ... + 2365440006.

Almost surely, 2^30750720000 is an apocalyptic number.

30750720000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30750720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68788680576).

30750720000 is an abundant number, since it is smaller than the sum of its proper divisors (106826641152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30750720000 is an equidigital number, since it uses as much as digits as its factorization.

30750720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The spelling of 30750720000 in words is "thirty billion, seven hundred fifty million, seven hundred twenty thousand".